Add -1 3/10+(-4 2/15). (1 Point)
Responses:
-5 1/6
-2 5/6
-5 1/5
-5 13/30
To add -1 3/10 and -4 2/15, we need to find a common denominator. The common denominator of 10 and 15 is 30.
-1 3/10 + (-4 2/15) becomes -13/10 + (-62/15).
To add the fractions, we need to have the same sign. Let's convert -13/10 to have the same denominator as -62/15:
-13/10 = -39/30
Now we can add the fractions:
-39/30 + (-62/15) = -39/30 - 124/30 = -163/30 = -5 13/30.
Therefore, the correct answer is:
-5 13/30
To add -1 3/10 and -4 2/15, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-1 3/10 = (-1 * 10 + 3)/10 = (-10 + 3)/10 = -13/10
-4 2/15 = (-4 * 15 + 2)/15 = (-60 + 2)/15 = -58/15
Step 2: Find a common denominator (LCD) for the fractions, which is 30 in this case.
Step 3: Convert the fractions to have the common denominator.
-13/10 = -39/30
-58/15 = -116/30
Step 4: Add the fractions together.
-39/30 + (-116/30) = -155/30
Step 5: Simplify the resulting fraction, if needed.
-155/30 can be reduced by dividing both the numerator and the denominator by 5, which results in -31/6.
Therefore, the sum of -1 3/10 and -4 2/15 is -31/6, which is equivalent to -5 1/6.